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Question: A chemical manufacturer has commissioned a series of stainless steel open top rectangular boxes with square ends. what is the least area of stainless steel required to give a volume of 4.5 cubed. a) using differential calculus calculate the area of the stainless steel. b) using the second derivative determine if this is the minimum volume.
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
In a certain manufacturing process the probability of a type I defect is 0.14, the probability of a type II defect is 0.34, and the probability of having both types of defects is 0.04. Find the probability of having neither type of defect.
If a ball is thrown directly upward with a velocity of 28 ft/s, its height (in feet) after t seconds is given by y = 28t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
display the real and imaginary parts for sin z and cos z where z x iy.comment we havesin z sin x cosh y i cos x
The cost C to produce x number of tennis rackets is The tennis rackets are sold wholesale for each, so revenue R is given by Find how many tennis rackets the manufacturer needs to produce and sell to break even.
Allyson and Adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. The cord is 30 feet long, but can stretch up to 90 feet. They both start from the same location. Allyson moves 10 ft/sec and Adrian..
in the second quarter, sales increased by 15% for region b, and region a had 1.5 times as many sales as region b. what region a sales in the second quarter?
Probability density function sample question, Let E be the event that the number which comes up when a single die is tossed is divisible by 3. Let X be the number of times that event E occurs in 3 tosses of the die
translate the following argument into symbolic form and then use the first thirteen rules of inference to derive the
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
According to the empirical rule, almost all the data should lie between (x-3s) and (x+3s). The range accounts for all the data.
on august 18, the ferrnandez family received 19 pieces of mail consisting of magazines, bills, letters, and ads. if they received the same number of magazines as letters, three more bills than letter, and five more ads than bills, how many magazin..
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